Certain partitions on a set and their applications to different classes of graded algebras

Antonio J. Calderón Martín; Boubacar Dieme

doi:10.2478/cm-2021-0021

Antonio J. Calderón Martín ; Boubacar Dieme - Certain partitions on a set and their applications to different classes of graded algebras

cm:9540 - Communications in Mathematics, July 15, 2021, Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga) - https://doi.org/10.2478/cm-2021-0021

Certain partitions on a set and their applications to different classes of graded algebrasArticle

Authors: Antonio J. Calderón Martín ^1,²; Boubacar Dieme ^3,⁴

1 University of Cadiz
2 Universidad de Cádiz = University of Cádiz
3 Université Cheikh Anta Diop [Dakar, Sénégal]
4 Université Cheikh Anta Diop de Dakar [Sénégal]

Let (A, u) and (B, b) be two pointed sets. Given a family ofthree maps F = {f1 : A → A; f2 : A × A → A; f3 : A × A → B}, thisfamily provides an adequate decomposition of A \ {u} as the orthogonaldisjoint union of well-described F-invariant subsets. This decompositionis applied to the structure theory of graded involutive algebras, gradedquadratic algebras and graded weak H∗-algebras.

https://doi.org/10.2478/cm-2021-0021

Source: HAL:hal-03665016v1

Volume: Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga)

Published on: July 15, 2021

Imported on: May 11, 2022

Keywords: [MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

Antonio J. Calderón Martín ; Boubacar Dieme - Certain partitions on a set and their applications to different classes of graded algebras

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